Coherent sheaves and vector bundles on complex projective varieties.Moduli spaces. Stability and simplicity of vector bundles. Exceptional bundles. ACM bundles.
Higher secant varieties to complex projective varieties. Waring problem. complesse. Interpolazione polinomiale. Problema di Waring.
Linear systems in complex projective spaces: study of speciality, base locus, obstructions.
Tensors and real algebraic geometry. Complex and real rank of a tensor.
